Answer:
b) The measure of angle B is 117°.
Step-by-step explanation:
Angles A and C are vertical angles, so are congruent. Angles C and 27° total 90°, so ...
∠C = 90° -27° = 63° . . . . . not 53°
The measure of angle B is the supplement of angle A or C, so is ...
∠B = 180° -∠C = 180° -63°
∠B = 117°
Only choice B is correct.
<u>Given</u>:
The measure of angle EFG is 
The measure of arc GE is 
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the inscribed angle theorem.
Thus, we have;

Substituting the values, we have,




Hence, the value of x is 8.
Therefore, Option B is the correct answer.
The recursive formula would be:

This is because the first term, a₁, is 10. A recursive rule is dependent upon the term before it (a(n-1)) and the common ratio. The common ratio, or the number that each term is multiplied by, is -8.
Since the order of the selection of files does not matter, this is the concept of combination not permutation.
therefore suppose we want the combination of 5 files that can be selected from 14. This will be given by:
14C5
=(14!)/(9!3!)
=2002
We therefore conclude that there are 2002 ways that 5 files can be selected from 14 files;